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112213332 = 223272115783
BaseRepresentation
bin1101011000000…
…11110101010100
321211011000202100
412230003311110
5212211311312
615045042100
72531540400
oct654036524
9254130670
10112213332
11583835a0
12316b6330
131a32b92a
1410c90100
159cb85dc
hex6b03d54

112213332 has 108 divisors (see below), whose sum is σ = 360019296. Its totient is φ = 29141280.

The previous prime is 112213331. The next prime is 112213333. The reversal of 112213332 is 233312211.

It is an interprime number because it is at equal distance from previous prime (112213331) and next prime (112213333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112213331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16513 + ... + 22295.

It is an arithmetic number, because the mean of its divisors is an integer number (3333512).

Almost surely, 2112213332 is an apocalyptic number.

112213332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180009648).

112213332 is an abundant number, since it is smaller than the sum of its proper divisors (247805964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112213332 is a wasteful number, since it uses less digits than its factorization.

112213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5806 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 112213332 is about 10593.0794389545. The cubic root of 112213332 is about 482.3343066240.

Adding to 112213332 its reverse (233312211), we get a palindrome (345525543).

It can be divided in two parts, 112 and 213332, that added together give a square (213444 = 4622).

The spelling of 112213332 in words is "one hundred twelve million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 5783 6468 9702 11566 17349 19404 23132 34698 40481 52047 63613 69396 80962 104094 121443 127226 161924 190839 208188 242886 254452 283367 364329 381678 445291 485772 566734 572517 728658 763356 850101 890582 1133468 1145034 1335873 1457316 1700202 1781164 2290068 2550303 2671746 3117037 3400404 4007619 5100606 5343492 6234074 8015238 9351111 10201212 12468148 16030476 18702222 28053333 37404444 56106666 112213332